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Erschienen in: Journal of Coatings Technology and Research 2/2019

05.10.2018

Numerical modeling of the spray coating of spinning bodies

verfasst von: D. E. Weidner, L. W. Schwartz, R. R. Eley

Erschienen in: Journal of Coatings Technology and Research | Ausgabe 2/2019

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Abstract

We derive the lubrication form of the fluid mechanical equations governing the motion of a thin liquid film on an arbitrarily curved, rotating, axisymmetric substrate. The resulting equations are discretized and then solved numerically using an efficient implicit finite difference algorithm. Non-Newtonian effects are included by incorporating an Ellis viscosity model. The primary application for this work is to model the spin coating of the interior of two-piece metal beverage cans, and we consider this problem in some depth. Specifically, we show how adjusting several parameters can eliminate one possible defect in the spin coating process: the tendency for droplets to detach from the substrate when the can is spun at high rotation rates.

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Literatur
1.
Zurück zum Zitat Emslie, AG, Bonner, FT, Peck, LG, “Flow of a Viscous Liquid on a Rotating Disk.” J. Appl. Phys., 29 (5) 858–862 (1958)CrossRef Emslie, AG, Bonner, FT, Peck, LG, “Flow of a Viscous Liquid on a Rotating Disk.” J. Appl. Phys., 29 (5) 858–862 (1958)CrossRef
2.
Zurück zum Zitat Rehg, TG, Higgins, BG, “Spin Coating of Colloid Suspensions.” AICHE J., 38 (4) 489–501 (1992)CrossRef Rehg, TG, Higgins, BG, “Spin Coating of Colloid Suspensions.” AICHE J., 38 (4) 489–501 (1992)CrossRef
3.
Zurück zum Zitat Peurrung, LM, Graves, DB, “Spin Coating Over Topography.” Transactions on Semiconductor Manufacturing, 6 (1) 72–76 (1993)CrossRef Peurrung, LM, Graves, DB, “Spin Coating Over Topography.” Transactions on Semiconductor Manufacturing, 6 (1) 72–76 (1993)CrossRef
4.
Zurück zum Zitat Wilson, SK, Hunt, R, Duffy, BR, “The Rate of Spreading in Spin Coating.” J. Fluid Mech., 413 65–88 (2000)CrossRef Wilson, SK, Hunt, R, Duffy, BR, “The Rate of Spreading in Spin Coating.” J. Fluid Mech., 413 65–88 (2000)CrossRef
5.
Zurück zum Zitat McKinley IS, Wilson, SK, “The Linear Stability of a Drop of Fluid During Spin Coating or Subject to a Jet of Air.” Phys. Fluids, 14 (1) 133–142 (2002)CrossRef McKinley IS, Wilson, SK, “The Linear Stability of a Drop of Fluid During Spin Coating or Subject to a Jet of Air.” Phys. Fluids, 14 (1) 133–142 (2002)CrossRef
6.
Zurück zum Zitat Acrivos, A, Shah, MJ, Petersen, EE, “On the Flow of a Non-Newtonian Liquid on a Rotating Disk.” J. Appl. Phys., 31 963–968 (1984)CrossRef Acrivos, A, Shah, MJ, Petersen, EE, “On the Flow of a Non-Newtonian Liquid on a Rotating Disk.” J. Appl. Phys., 31 963–968 (1984)CrossRef
7.
Zurück zum Zitat Lawrence, CJ, “The Mechanics of Spin Coating of Polymer Films.” Phys. Fluids, 31 (10) 2786–2795 (1988)CrossRef Lawrence, CJ, “The Mechanics of Spin Coating of Polymer Films.” Phys. Fluids, 31 (10) 2786–2795 (1988)CrossRef
8.
Zurück zum Zitat Jenekhe, SA, Schuldt, SB, “Coating Flow of Non-Newtonian Fluids on a Flat Rotating Disk.” Ind. Eng. Chem. Fundam., 23 432–436 (1984)CrossRef Jenekhe, SA, Schuldt, SB, “Coating Flow of Non-Newtonian Fluids on a Flat Rotating Disk.” Ind. Eng. Chem. Fundam., 23 432–436 (1984)CrossRef
9.
Zurück zum Zitat Lawrence, CJ, Zhou, W, “Spin Coating of Non-Newtonian Fluids.” J. Non-Newton. Fluid Mech., 39 (2) 137–187 (1991)CrossRef Lawrence, CJ, Zhou, W, “Spin Coating of Non-Newtonian Fluids.” J. Non-Newton. Fluid Mech., 39 (2) 137–187 (1991)CrossRef
10.
Zurück zum Zitat Britten, JA, Thomas, IM, “Non-Newtonian Flow Effects During Spin Coating Large-Area Optical Coatings with Colloidal Suspensions.” J. Appl. Phys., 71 (2) 972–979 (1992)CrossRef Britten, JA, Thomas, IM, “Non-Newtonian Flow Effects During Spin Coating Large-Area Optical Coatings with Colloidal Suspensions.” J. Appl. Phys., 71 (2) 972–979 (1992)CrossRef
11.
Zurück zum Zitat Borkar, AV, Tsamopoulos, JA, Guptai, SA, Gupta, RK, “Spin-Coating of Viscoelastic and Nonvolatile Fluids Over a Planer Disk.” Phys. Fluids, 6 (11) 3539–3553 (1994)CrossRef Borkar, AV, Tsamopoulos, JA, Guptai, SA, Gupta, RK, “Spin-Coating of Viscoelastic and Nonvolatile Fluids Over a Planer Disk.” Phys. Fluids, 6 (11) 3539–3553 (1994)CrossRef
12.
Zurück zum Zitat Cheung, KP, Grover, RY, Wang, R, Gurkovich, RC, Wangand, G, Scheinbeim, J, “Substrate Effect on the Thickness of Spin-Coated Ultrathin Polymer Film.” Appl. Phys. Lett., 87 (21) 4103 (2005)CrossRef Cheung, KP, Grover, RY, Wang, R, Gurkovich, RC, Wangand, G, Scheinbeim, J, “Substrate Effect on the Thickness of Spin-Coated Ultrathin Polymer Film.” Appl. Phys. Lett., 87 (21) 4103 (2005)CrossRef
13.
Zurück zum Zitat Meyerhofer, D, “Characteristics of Resist Films Produced by Spinning.” J. Appl. Phys., 49 (7) 3993–3997 (1978)CrossRef Meyerhofer, D, “Characteristics of Resist Films Produced by Spinning.” J. Appl. Phys., 49 (7) 3993–3997 (1978)CrossRef
14.
Zurück zum Zitat Bornside, DE, Macosko, CW, Scriven, LE, “Spin Coating: One-Dimensional Model.” J. Appl. Phys., 66 (11) 5185–5193 (1989)CrossRef Bornside, DE, Macosko, CW, Scriven, LE, “Spin Coating: One-Dimensional Model.” J. Appl. Phys., 66 (11) 5185–5193 (1989)CrossRef
15.
Zurück zum Zitat Sukanek, PC, “A Model for Spin Coating with Topography.” J. Electrochem. Soc., 136 (10) 3019–3026 (1989)CrossRef Sukanek, PC, “A Model for Spin Coating with Topography.” J. Electrochem. Soc., 136 (10) 3019–3026 (1989)CrossRef
16.
Zurück zum Zitat Overdiep, WS, “Levelling of Paints.” In: Spalding, DB (ed.) Physicochemical Hydrodynamics, pp. 683–697, Advance Publications, London, 1977 Overdiep, WS, “Levelling of Paints.” In: Spalding, DB (ed.) Physicochemical Hydrodynamics, pp. 683–697, Advance Publications, London, 1977
17.
Zurück zum Zitat Sukanek, PC, “Dependence of Film Thickness on Speed in Spin Coating.” J. Electrochem. Soc., 138 (6) 1712–1719 (1991)CrossRef Sukanek, PC, “Dependence of Film Thickness on Speed in Spin Coating.” J. Electrochem. Soc., 138 (6) 1712–1719 (1991)CrossRef
18.
Zurück zum Zitat Levinson, WA, Arnold, A, DeHodgins, O, “Spin-Coating Behavior of Polymide Precursor Solutions.” Polym. Eng. Sci., 33 (15) 980–988 (1993)CrossRef Levinson, WA, Arnold, A, DeHodgins, O, “Spin-Coating Behavior of Polymide Precursor Solutions.” Polym. Eng. Sci., 33 (15) 980–988 (1993)CrossRef
19.
Zurück zum Zitat Spaid, MA, Homsy, GM, “Viscolastic Free-surface Flows—Spin-coating and Dynamic Contact Lines.” J. Nonnewton. Fluid Mech., 55 249–281 (1994)CrossRef Spaid, MA, Homsy, GM, “Viscolastic Free-surface Flows—Spin-coating and Dynamic Contact Lines.” J. Nonnewton. Fluid Mech., 55 249–281 (1994)CrossRef
20.
Zurück zum Zitat Desouza, MN, Leaver, KD, Eskiyerli, MH, “The Characterization Method Applied to Spin-coating in One-dimension.” Comput. Mater. Sci., 4 (3) 233–240 (1995)CrossRef Desouza, MN, Leaver, KD, Eskiyerli, MH, “The Characterization Method Applied to Spin-coating in One-dimension.” Comput. Mater. Sci., 4 (3) 233–240 (1995)CrossRef
21.
Zurück zum Zitat Gu, J, Bullwinkel, MD, Campbell, GA, “Spin-Coating on Substrate with Topography.” J. Electrochem. Soc., 142 (3) 907–913 (1995)CrossRef Gu, J, Bullwinkel, MD, Campbell, GA, “Spin-Coating on Substrate with Topography.” J. Electrochem. Soc., 142 (3) 907–913 (1995)CrossRef
22.
Zurück zum Zitat Chang, Y,Chen, WC, “Theoretical Analysis on Spin Coating of Polyimide Precursor Solutions.” J. Electrochem. Soc., 148 (4) 77–81 (2001)CrossRef Chang, Y,Chen, WC, “Theoretical Analysis on Spin Coating of Polyimide Precursor Solutions.” J. Electrochem. Soc., 148 (4) 77–81 (2001)CrossRef
23.
Zurück zum Zitat Cregan, V, O’Brien, SBG, “Extended Asymptotic Solutions to the Spin-coating Model with Small Evaporation.” Appl. Math. Comput., 223 76–87 (2013) Cregan, V, O’Brien, SBG, “Extended Asymptotic Solutions to the Spin-coating Model with Small Evaporation.” Appl. Math. Comput., 223 76–87 (2013)
24.
Zurück zum Zitat Li, W, Carvalho, MS, Kumar, S, “Liquid-Film Coating on Topographically Patterned Rotating Cylinders.” Phys. Rev. Fluids, 2 (2) 024001 (2017)CrossRef Li, W, Carvalho, MS, Kumar, S, “Liquid-Film Coating on Topographically Patterned Rotating Cylinders.” Phys. Rev. Fluids, 2 (2) 024001 (2017)CrossRef
25.
Zurück zum Zitat Mahmoodi, S, Guoqing, M, Khajavi, MN, “Two-Dimensional Spin Coating with Vertical Centrifugal Force and the Effect of Artificial Gravity on Surface Leveling.” J. Coat. Technol. Res., 13(6) 1123–1137 (2016)CrossRef Mahmoodi, S, Guoqing, M, Khajavi, MN, “Two-Dimensional Spin Coating with Vertical Centrifugal Force and the Effect of Artificial Gravity on Surface Leveling.” J. Coat. Technol. Res., 13(6) 1123–1137 (2016)CrossRef
26.
Zurück zum Zitat Greenberg, MD, Foundations of Applied Mathematics. Prentice-Hall, Englewood Cliffs, 1978 Greenberg, MD, Foundations of Applied Mathematics. Prentice-Hall, Englewood Cliffs, 1978
27.
Zurück zum Zitat Schwartz, LW, Weidner, DE, Eley, RR, “An Analysis of the Effect of Surfactant on the Leveling Behavior of a Thin Liquid Coating Layer.” Langmuir, 11 (10) 3690–3693 (1995)CrossRef Schwartz, LW, Weidner, DE, Eley, RR, “An Analysis of the Effect of Surfactant on the Leveling Behavior of a Thin Liquid Coating Layer.” Langmuir, 11 (10) 3690–3693 (1995)CrossRef
28.
Zurück zum Zitat Byrd, RB, Stewart, WE, Lightfoot EN, Transport Phenomena. Wiley, New York, 1960 Byrd, RB, Stewart, WE, Lightfoot EN, Transport Phenomena. Wiley, New York, 1960
29.
Zurück zum Zitat Gerek, G, Coucher, RG, Coated Container, 1976. US Patent 3,947,617 Gerek, G, Coucher, RG, Coated Container, 1976. US Patent 3,947,617
30.
Zurück zum Zitat Gerek, G, Coucher, RG, Container Coating Method, 1977. US Patent 4,025,664 Gerek, G, Coucher, RG, Container Coating Method, 1977. US Patent 4,025,664
31.
Zurück zum Zitat Coucher, RG, Gerek, G, Container Coating Method, 1980. US Patent 4,183,974 Coucher, RG, Gerek, G, Container Coating Method, 1980. US Patent 4,183,974
32.
Zurück zum Zitat Dervy, L, Gogola, M, Walsh, W, Bottom Profile for Drawn and Ironed Can Body, 2007. US Patent App. 11/890,107 Dervy, L, Gogola, M, Walsh, W, Bottom Profile for Drawn and Ironed Can Body, 2007. US Patent App. 11/890,107
Metadaten
Titel
Numerical modeling of the spray coating of spinning bodies
verfasst von
D. E. Weidner
L. W. Schwartz
R. R. Eley
Publikationsdatum
05.10.2018
Verlag
Springer US
Erschienen in
Journal of Coatings Technology and Research / Ausgabe 2/2019
Print ISSN: 1547-0091
Elektronische ISSN: 1935-3804
DOI
https://doi.org/10.1007/s11998-018-0131-y

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